Atkin-Lehner |
5- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97405g |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
25577542834661125 = 53 · 73 · 1110 · 23 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 11- -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-78085,3339639] |
[a1,a2,a3,a4,a6] |
Generators |
[21:1307:1] |
Generators of the group modulo torsion |
j |
2030043136/986125 |
j-invariant |
L |
4.5920313993276 |
L(r)(E,1)/r! |
Ω |
0.33517003746663 |
Real period |
R |
4.5668674379903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97405j1 |
Quadratic twists by: -11 |